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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): If the standard electrode potentials for A²⁺/A and A^+/A are x V and y V respectively, then the standard electrode potential for A²⁺/A^+ is (2x - y) V. Reason (R): Standard electrode potentials are extensive properties and can be directly added or subtracted to obtain the potential of a new half-ce

Options

  1. ABoth Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)
  2. BBoth Assertion (A) and Reason (R) are correct but Reason (R) is not the correct explanation of Assertion (A)
  3. CAssertion (A) is correct but Reason (R) is incorrect
  4. DAssertion (A) is incorrect but Reason (R) is correct

Correct answer

C. Assertion (A) is correct but Reason (R) is incorrect

Step-by-step solution

Assertion (A) is correct: The standard electrode potentials cannot be directly added, but standard Gibbs free energy changes ( G^ ) can be. For A²⁺ + 2e^- A , G^ ₁ = -2Fx For A^+ + e^- A , G^ ₂ = -Fy The target reaction is A²⁺ + e^- A^+ , which is obtained by subtracting the second reaction from the first. G^ ₃ = G^ ₁ - G^ ₂ = -2Fx - (-Fy) = -2Fx + Fy Since G^ ₃ = -1FE^ ₃ , we have -FE^ ₃ = -F(2x - y) , which gives E^ ₃ = (2x - y) V. Reason (R) is incorrect: Standard electrode potential ( E^ ) is an intensive prope

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